幂函数拟合研究LED圆形阵列光斑的发散特性  

Study on Light Spot Divergence Characteristics of LED Circular Array by Power Function Fitting Methods

作　　者：刘启能[1,2] 代洪霞[1,2] 

机构地区：[1]重庆工商大学重庆市检测控制集成系统工程实验室,重庆400067 [2]重庆工商大学计算机科学与信息工程学院,重庆400670

出　　处：《人工晶体学报》2015年第5期1376-1382,共7页Journal of Synthetic Crystals

基　　金：重庆市教委科技项目(KJ130713);重庆工商大学重点项目(1352003)

摘　　要：利用LED照度公式推导出LED圆形阵列的光斑半径和发散角公式,建立了研究LED圆形阵列光斑发散特性的数值计算方法。在此基础上利用拟合方法得出了LED圆形阵列的光斑半径和发散角随m值、随目标距离、随阵列半径变化的幂函数公式,这些幂函数拟合公式能够很好地与数值计算结果吻合。利用这些公式能够十分方便地对LED圆形阵列的光斑发散特性进行解析研究,为研究LED圆形阵列的光斑发散特性建立了一种新方法,弥补了数值计算方法不能对LED圆形阵列的光斑发散特性进行解析研究的缺陷。Using LED illumination formula, the light spot radius formula and the divergence angle formula of LED circular array were deduced. The numerical method to study light spot divergence characteristics of LED circular array was established. Using fitting method, the power function formula of the spot radius and divergence angle with m value and target distance and array radius were obtained, and these formulas can quite good agree with the numerical calculation results. Using these formulas, the light spot divergence characteristics of LED circular array can be easily analytical studied. To study the light spot divergent characteristics of LED circular array, a new method was set up. It makes up for the defects that numerical method cant analytical study on the light spot divergence characteristics of LED circular array.

关 键 词：发光二极管 圆形阵列 发散特性 拟合方法 幂函数 

分 类 号：O435[机械工程—光学工程] O432.2[理学—光学]